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20479293504 = 26352275801
BaseRepresentation
bin10011000100101010…
…010011100001000000
31221212020101220100000
4103010222103201000
5313420144343004
613224050200000
71323332060025
oct230452234100
957766356300
1020479293504
11875a03335a
123b76583000
131c14a8cb67
14dc3c0b54c
157ecd93c39
hex4c4a93840

20479293504 has 168 divisors, whose sum is σ = 61152987168. Its totient is φ = 6795187200.

The previous prime is 20479293481. The next prime is 20479293509. The reversal of 20479293504 is 40539297402.

20479293504 is a `hidden beast` number, since 204 + 7 + 92 + 9 + 350 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20479293504.

It is not an unprimeable number, because it can be changed into a prime (20479293509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3527404 + ... + 3533204.

It is an arithmetic number, because the mean of its divisors is an integer number (364005876).

Almost surely, 220479293504 is an apocalyptic number.

20479293504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20479293504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30576493584).

20479293504 is an abundant number, since it is smaller than the sum of its proper divisors (40673693664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20479293504 is an equidigital number, since it uses as much as digits as its factorization.

20479293504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6055 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 20479293504 in words is "twenty billion, four hundred seventy-nine million, two hundred ninety-three thousand, five hundred four".